Thermodynamics of apparent horizon in modified FRW universe with power-law corrected entropy

Details Thermodynamics of apparent horizon in modified FRW universe with power-law corrected entropy Thermodynamics of apparent horizon in modified FRW universe with power-law corrected entropy

2010-09-17

arxiv.org/abs/1009.3833v2

JHEP 1108:150,2011

Physics

General Physics

12 pages, Accepted for Publication in JHEP

Scientific paper

10.1007/JHEP08(2011)150

We derive the modified Friedmann equation corresponding to the power-law corrected entropy-area relation $S_{\rm A}=\frac{A}{4}[1-K_{\alpha} A^{1-\frac{\alpha}{2}}]$ which is motivated by the entanglement of quantum fields in and out of the apparent horizon. We consider a non-flat modified FRW universe containing an interacting viscous dark energy with dark matter and radiation. For the selected model, we study the effect of the power-law correction term to the entropy on the dynamics of dark energy. Furthermore, we investigate the validity of the generalized second law (GSL) of gravitational thermodynamics on the apparent horizon and conclude that the GSL is satisfied for $\alpha<2$.

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